Page 1 Exercise 11.1 page: 11.5 1. Give three examples of angles from your environment. Solution: The three examples of angles are The angle formed by the two adjacent fingers of our hand The angle formed by two adjacent walls of a room The angle formed by the hour hand and minute hand of a clock. 2. Write the arms and the vertex of ? LMP given in Fig. 11.14. Solution: The vertex of ? LMP is M and the arms are ML and MP. 3. How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them. Solution: (i) Three angles are formed in figure (i) namely ? ABC, ? ACB and ? BAC. (ii) Four angles are formed in figure (ii) namely ? ABC, ? BCD, ? CDA and ? DAB. (iii) Eight angles are formed in figure (iii) namely ? ABC, ? BCD, ? CDA, ? DAB, ? CAB, ? CAD, ? BCA and ? ACD. 4. In Fig. 11.16, list the points which are: (i) in the interior of ? P (ii) in the exterior of ? P and (iii) lie on ? P. Page 2 Exercise 11.1 page: 11.5 1. Give three examples of angles from your environment. Solution: The three examples of angles are The angle formed by the two adjacent fingers of our hand The angle formed by two adjacent walls of a room The angle formed by the hour hand and minute hand of a clock. 2. Write the arms and the vertex of ? LMP given in Fig. 11.14. Solution: The vertex of ? LMP is M and the arms are ML and MP. 3. How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them. Solution: (i) Three angles are formed in figure (i) namely ? ABC, ? ACB and ? BAC. (ii) Four angles are formed in figure (ii) namely ? ABC, ? BCD, ? CDA and ? DAB. (iii) Eight angles are formed in figure (iii) namely ? ABC, ? BCD, ? CDA, ? DAB, ? CAB, ? CAD, ? BCA and ? ACD. 4. In Fig. 11.16, list the points which are: (i) in the interior of ? P (ii) in the exterior of ? P and (iii) lie on ? P. Solution: (i) The points which are in the interior of ? P are J and C. (ii) The points which are in the exterior of ? P are B and D. (iii) The points which lie on ? P are A, P and M. 5. In Fig. 11.17, write another name for: (i) ? 1 (ii) ? 2 (iii) ? 3 (iv) ? 4 Solution: (i) From the figure, another name for ? 1 is ? BOD or ? DOB. (ii) From the figure, another name for ? 2 is ? BOC or ? COB. (iii) From the figure, another name for ? 3 is ? COA or ? AOC. (iv) From the figure, another name for ? 4 is ? AOD or ? DOA. 6. In Fig. 11.18, write another name for: Page 3 Exercise 11.1 page: 11.5 1. Give three examples of angles from your environment. Solution: The three examples of angles are The angle formed by the two adjacent fingers of our hand The angle formed by two adjacent walls of a room The angle formed by the hour hand and minute hand of a clock. 2. Write the arms and the vertex of ? LMP given in Fig. 11.14. Solution: The vertex of ? LMP is M and the arms are ML and MP. 3. How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them. Solution: (i) Three angles are formed in figure (i) namely ? ABC, ? ACB and ? BAC. (ii) Four angles are formed in figure (ii) namely ? ABC, ? BCD, ? CDA and ? DAB. (iii) Eight angles are formed in figure (iii) namely ? ABC, ? BCD, ? CDA, ? DAB, ? CAB, ? CAD, ? BCA and ? ACD. 4. In Fig. 11.16, list the points which are: (i) in the interior of ? P (ii) in the exterior of ? P and (iii) lie on ? P. Solution: (i) The points which are in the interior of ? P are J and C. (ii) The points which are in the exterior of ? P are B and D. (iii) The points which lie on ? P are A, P and M. 5. In Fig. 11.17, write another name for: (i) ? 1 (ii) ? 2 (iii) ? 3 (iv) ? 4 Solution: (i) From the figure, another name for ? 1 is ? BOD or ? DOB. (ii) From the figure, another name for ? 2 is ? BOC or ? COB. (iii) From the figure, another name for ? 3 is ? COA or ? AOC. (iv) From the figure, another name for ? 4 is ? AOD or ? DOA. 6. In Fig. 11.18, write another name for: (i) ? 1 (ii) ? 2 (iii) ? 3 Solution: (i) From the figure, another name for ? 1 is ? EPB or ? BPE. (ii) From the figure, another name for ? 2 is ? CQP or ? PQC. (iii) From the figure, another name for ? 3 is ? DQF or ? FQD. 7. In Fig. 11.19, which of the following statements are true: (i) Point B is the interior of ? AOB. (ii) Point B is the interior of ? AOC. (iii) Point A is the interior of ? AOD. (iv) Point C is the exterior of ? AOB. (v) Point D is the exterior of ? AOC. Solution: (i) False. B lies on ? AOB. (ii) True (iii) False. A lies on ? AOD. (iv) True (v) True 8. Which of the following statements are true: (i) The vertex of an angle lies in its interior. (ii) The vertex of an angle lies in its exterior. Page 4 Exercise 11.1 page: 11.5 1. Give three examples of angles from your environment. Solution: The three examples of angles are The angle formed by the two adjacent fingers of our hand The angle formed by two adjacent walls of a room The angle formed by the hour hand and minute hand of a clock. 2. Write the arms and the vertex of ? LMP given in Fig. 11.14. Solution: The vertex of ? LMP is M and the arms are ML and MP. 3. How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them. Solution: (i) Three angles are formed in figure (i) namely ? ABC, ? ACB and ? BAC. (ii) Four angles are formed in figure (ii) namely ? ABC, ? BCD, ? CDA and ? DAB. (iii) Eight angles are formed in figure (iii) namely ? ABC, ? BCD, ? CDA, ? DAB, ? CAB, ? CAD, ? BCA and ? ACD. 4. In Fig. 11.16, list the points which are: (i) in the interior of ? P (ii) in the exterior of ? P and (iii) lie on ? P. Solution: (i) The points which are in the interior of ? P are J and C. (ii) The points which are in the exterior of ? P are B and D. (iii) The points which lie on ? P are A, P and M. 5. In Fig. 11.17, write another name for: (i) ? 1 (ii) ? 2 (iii) ? 3 (iv) ? 4 Solution: (i) From the figure, another name for ? 1 is ? BOD or ? DOB. (ii) From the figure, another name for ? 2 is ? BOC or ? COB. (iii) From the figure, another name for ? 3 is ? COA or ? AOC. (iv) From the figure, another name for ? 4 is ? AOD or ? DOA. 6. In Fig. 11.18, write another name for: (i) ? 1 (ii) ? 2 (iii) ? 3 Solution: (i) From the figure, another name for ? 1 is ? EPB or ? BPE. (ii) From the figure, another name for ? 2 is ? CQP or ? PQC. (iii) From the figure, another name for ? 3 is ? DQF or ? FQD. 7. In Fig. 11.19, which of the following statements are true: (i) Point B is the interior of ? AOB. (ii) Point B is the interior of ? AOC. (iii) Point A is the interior of ? AOD. (iv) Point C is the exterior of ? AOB. (v) Point D is the exterior of ? AOC. Solution: (i) False. B lies on ? AOB. (ii) True (iii) False. A lies on ? AOD. (iv) True (v) True 8. Which of the following statements are true: (i) The vertex of an angle lies in its interior. (ii) The vertex of an angle lies in its exterior. (iii) The vertex of an angle lies on it. Solution: (i) False. (ii) False. (iii) True. 9. By simply looking at the pair of angles given in Fig. 11.20, state which of the angles in each of the pairs is greater: Solution: (i) From the figure we know that ? AOB > ? DEF. (ii) From the figure we know that ? PQR > ? LMN. (iii) From the figure we know that ? UVW > ? XYZ. 10. By using tracing paper compare the angles in each of the pairs given in Fig. 11.21. Page 5 Exercise 11.1 page: 11.5 1. Give three examples of angles from your environment. Solution: The three examples of angles are The angle formed by the two adjacent fingers of our hand The angle formed by two adjacent walls of a room The angle formed by the hour hand and minute hand of a clock. 2. Write the arms and the vertex of ? LMP given in Fig. 11.14. Solution: The vertex of ? LMP is M and the arms are ML and MP. 3. How many angles are formed in the figures 11.15 (i), (ii) and (iii)? Name them. Solution: (i) Three angles are formed in figure (i) namely ? ABC, ? ACB and ? BAC. (ii) Four angles are formed in figure (ii) namely ? ABC, ? BCD, ? CDA and ? DAB. (iii) Eight angles are formed in figure (iii) namely ? ABC, ? BCD, ? CDA, ? DAB, ? CAB, ? CAD, ? BCA and ? ACD. 4. In Fig. 11.16, list the points which are: (i) in the interior of ? P (ii) in the exterior of ? P and (iii) lie on ? P. Solution: (i) The points which are in the interior of ? P are J and C. (ii) The points which are in the exterior of ? P are B and D. (iii) The points which lie on ? P are A, P and M. 5. In Fig. 11.17, write another name for: (i) ? 1 (ii) ? 2 (iii) ? 3 (iv) ? 4 Solution: (i) From the figure, another name for ? 1 is ? BOD or ? DOB. (ii) From the figure, another name for ? 2 is ? BOC or ? COB. (iii) From the figure, another name for ? 3 is ? COA or ? AOC. (iv) From the figure, another name for ? 4 is ? AOD or ? DOA. 6. In Fig. 11.18, write another name for: (i) ? 1 (ii) ? 2 (iii) ? 3 Solution: (i) From the figure, another name for ? 1 is ? EPB or ? BPE. (ii) From the figure, another name for ? 2 is ? CQP or ? PQC. (iii) From the figure, another name for ? 3 is ? DQF or ? FQD. 7. In Fig. 11.19, which of the following statements are true: (i) Point B is the interior of ? AOB. (ii) Point B is the interior of ? AOC. (iii) Point A is the interior of ? AOD. (iv) Point C is the exterior of ? AOB. (v) Point D is the exterior of ? AOC. Solution: (i) False. B lies on ? AOB. (ii) True (iii) False. A lies on ? AOD. (iv) True (v) True 8. Which of the following statements are true: (i) The vertex of an angle lies in its interior. (ii) The vertex of an angle lies in its exterior. (iii) The vertex of an angle lies on it. Solution: (i) False. (ii) False. (iii) True. 9. By simply looking at the pair of angles given in Fig. 11.20, state which of the angles in each of the pairs is greater: Solution: (i) From the figure we know that ? AOB > ? DEF. (ii) From the figure we know that ? PQR > ? LMN. (iii) From the figure we know that ? UVW > ? XYZ. 10. By using tracing paper compare the angles in each of the pairs given in Fig. 11.21. Solution: (i) From the figure we know that ? PQR > ? AOB. (ii) From the figure we know that ? UVW > ? LMN. (iii) From the figure we know that ? RST > ? XYZ. (iv) From the figure we know that ? PQR > ? EFG.Read More

Offer running on EduRev: __Apply code STAYHOME200__ to get INR 200 off on our premium plan EduRev Infinity!

191 videos|224 docs|43 tests